New Edition (left) and New Kids on the Block Photo by: everett collection

Just when you thought the New Kids on the Block reunion couldn't get any sweeter, word comes that the guys are recording a song with another favorite boy band: New Edition.

"Donnie Wahlberg had this idea for a few months, since New Kids had the idea of getting back together really," says producer Nadir "RedOne" Khawat, who worked on the song. "Donnie's been looking for that one track for all of them and I think we found it."

Last week, just days after New Edition took home the Golden Note Award at the 21st annual ASCAP Rhythm & Soul awards in Beverly Hills, the group (minus Bobby Brown) went into an L.A. studio to record with the New Kids. The ensemble track, titled "Full Service," will appear on NKOTB's not-yet-titled upcoming album.

The song was written by Wahlberg, Khawat, and New York disco diva Lady GaGa. "It sounds very universal and melodic and has both sides in it: The R&B, which is New Edition and the pop side for New Kids," says Khawat. "It's very uplifting. Right away you start feeling good and every part feels natural to each one of the guys."

So what was it like being with all of them in the studio? "It went really smoothly," says Khawat, adding that they munched on sushi in the studio and the guys prayed together before recording. "There were no egos or attitudes. It felt like they'd been friends forever."

In a recent chat with PEOPLE, New Edition frontman Tresvant addressed the rumors that the two bands have been feuding for years. "The thing people were going back and forth with was we'd been doing what we were doing for the longest [but] we couldn't get cartoons and things that the white guys were getting. It was like, 'wow,' " he said. "But the guys themselves, we have mad love."